Abels, Helmut and Garcke, Harald and Poiatti, Andrea (2024) Mathematical Analysis of a Diffuse Interface Model for Multi-phase Flows of Incompressible Viscous Fluids with Different Densities. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 26 (2): 29. ISSN 1422-6928, 1422-6952
Full text not available from this repository. (Request a copy)Abstract
We analyze a diffuse interface model for multi-phase flows of N incompressible, viscous Newtonian fluids with different densities. In the case of a bounded and sufficiently smooth domain existence of weak solutions in two and three space dimensions and a singular free energy density is shown. Moreover, in two space dimensions global existence for sufficiently regular initial data is proven. In three space dimension, existence of strong solutions locally in time is shown as well as regularization for large times in the absence of exterior forces. Moreover, in both two and three dimensions, convergence to stationary solutions as time tends to infinity is proved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Multi-phase flow; Multi-component Cahn-Hilliard equation; Weak solutions; Strong solutions; Convergence to equilibrium |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 25 Jul 2025 10:30 |
| Last Modified: | 25 Jul 2025 10:30 |
| URI: | https://pred.uni-regensburg.de/id/eprint/63787 |
Actions (login required)
 |
View Item |
